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Finding the Fourth Proportional to 55,083.81, 82,409.43 and 42,508.83

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Solution

The fourth proportional to 55,083.81, 82,409.43 and 42,508.83 is: 63,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083.81 : 82,409.43 = 42,508.83 : x
  2. Step 2: Convert to fraction form
    55,083.81/82,409.43 = 42,508.83/x
  3. Step 3: Cross multiply
    55,083.81x = 82,409.43 × 42,508.83
  4. Step 4: Simplify right side
    55,083.81x = 3,503,128,450.27
  5. Step 5: Solve for x
    x = 3,503,128,450.27/55,083.81
  6. Step 6: Final answer
    x = 63,596.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.